GCF of 6632/623, 6813/6160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6632/623, 6813/6160 i.e 1/548240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6632/623, 6813/6160.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6632/623,6813/6160?
Given fractions are 6632/623,6813/6160
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6632/623,6813/6160, numerators are 6632,6813
Denominators are 623,6160
The GCF of 6632,6813 is 1 .
LCM of 623,6160 is 548240.
The greatest common factor of 6632/623,6813/6160 = [GCF of 6632,6813]/[LCM of 623,6160]= 1/548240
Therefore, the GCF of 6632/623,6813/6160 is 1/548240.
To find the highest common factor of 6632,6813, we have to find the factors of both numbers and list the highest common factor.
The factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632
The factors of 6813 are 1, 3, 9, 757, 2271, 6813
The HCF of 6632,6813 is 1.
Lets's calculate GCF of 6632,6813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6632,6813 By Matching Biggest Common Factor Method
Now, list down the factors of 6632
:1,2,4,8,829,1658,3316,6632
Now, list down the factors of 6813
:1,3,9,757,2271,6813
Greatest Common Factor
We found the factors 6632,6813 . The biggest common factor number is the GCF number.
So the greatest common factor 6632,6813 is 1.
Lets's calculate LCM of 623,6160
| 7 | 623, 6160 |
| 89, 880 |
∴ So the LCM of the given numbers is 7 x 89 x 880 = 548240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548240
Therefore, the GCF of Fractions 6632/623,6813/6160 is 1/548240
Least Common Multiple of 623,6160 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 623,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,6160) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,6160) x common factors =7 x 1 = 7
LCM(623,6160) = ( 623 × 6160 ) / 7
LCM(623,6160) = 3837680 / 7
LCM(623,6160) = 548240
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FAQs on GCF of Fractions of 6632/623, 6813/6160
1. What is the HCF of 6632,6813?
The HCF of 6632,6813 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6632/623, 6813/6160?
Answer: GCF of Numerators as per given numbers 6632/623, 6813/6160 is
GCF of Numerators i.e. for 6632,6813 is 1
LCM of denominators i.e. for 623,6160 is 548240.
Thus, GCF of Fractions is 1/548240.Finally, GCF of Fractions for 6632/623, 6813/6160 is 1/548240.